I'm not sure how much Kane's absence will hurt them. I don't have the stats in front of me, but from what I remember they contain evidence that Tottenham actually play better as a unit when he's not in the side.
Stats are in that video above. And they kill that myth stone dead 😉
This season: Win % with Kane is 42.3% (26 games) and without him 23.1% (13 games).